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Scenario 4
Suppose there are two residents in a neighborhood, Tana and Jason. Tana's demand for clean streets is Q = 100 – 4P. Jason's demand for clean streets is Q = 80 – 2P. If your answer is not a whole number, please make sure to round to the nearest hundredth.
Refer to Scenario 4. Find the social demand curve for clean streets in this neighborhood. What is the y-intercept of the social demand curve? (Do not enter a dollar sign in your answer)
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- Suppose that two individuals, Jon and David, form a community and would like to construct a communal fort that would protect them from attacks. They consume both good X, a private good, and the protection from the fort, P. One unit of good X costs 1 unit while one unit of P costs 2 units, so the budget constraint for each is given by: Xi + 2Pi = 100. Both Jon and David have an income of 100 and a utility function of the form: U = log(Xi) + 2log(Pj + Pd) (a) How much protection, P, will be privately provided? What is optimal consumption of X, the private good? (b) What are the socially optimal amounts of protection, P, and consumption, X, of the private good? How do the socially optimal amounts compare to that privately provided? Explain why.Scenario 4 Suppose there are two residents in a neighborhood, Tana and Jason. Tana's demand for clean streets is Q = 100 – 4P. Jason's demand for clean streets is Q = 80 – 2P. If your answer is not a whole number, please make sure to round to the nearest hundredth. Refer to Scenario 4. Find the social demand curve for clean streets in this neighborhood. What is the slope of the social demand curve? and what is the socially optimal number of clean streets if the marginal cost of cleaning them is $95?Scenario 4 Suppose there are two residents in a neighborhood, Tana and Jason. Tana's demand for clean streets is Q = 100 – 4P. Jason's demand for clean streets is Q = 80 – 2P. If your answer is not a whole number, please make sure to round to the nearest hundredth. Refer to Scenario 4. What is the socially optimal number of clean streets if the marginal cost of cleaning them is $35? and what is the socially optimal number of clean streets if the marginal cost of cleaning them is $5?
- Suppose that two individuals, Jon and David, form a community and would like to construct a communal fort that would protect them from attacks. They both consume good X, a private good, and the protection of the fort, P. One unit of good X costs 1 unit of currency, and one unit of P costs 2 units of currency. Both Jon and David have an income of 100 and a utility function of the form: U = log(Xi) + 2 × log(PJ + PD)The budget constraint for each is given by:Xi + 2 × Pi = 100 (a) Find the amount of protection Jon will provide as a function of how much David provides, and explain why the relationship is the way it is.The Centers for Disease Control and Prevention (CDC) has a new vaccine against a disease and are trying to determine the optimal percentage of the population that should be vaccinated. They do not recommend vaccinating the whole population against the smallpox virus because the vaccine has undesirable, and sometimes fatal, side effects. Suppose the following table gives the data about the effects of the vaccine. Percent of population Deaths Due to Deaths due to Marginal Marginal Cost vaccinated Disease vaccine side Benefit of the of the Vaccine effects Vaccine (extra (extra deaths lives saved by due to side vaccine) effects) 0% 200 0 NA NA 10% 180 10 20% 160 25 30% 140 55 40% 120 95 50% 100 140 60% 80 200 a. Calculate the Marginal Benefit (in terms of how many extra lives are saved by the…Public Goods. Suppose a neighborhood in Segovia’s central business area is deciding how many fountains they want to see in the main avenue. There is a first group of 20 neighbors and each has a demand Q = 20 − P for fountains. There is a second group of 5 people, and each has a demand Q = 20 − 2P for fountains. The cost of building each fountain is 225. How many fountains are socially optimal? Fountains are public goods. Hint: To obtain the SMB, please first transform the demand functions into “public goods’ valuations” (“isolate P”) and then multiply them by the amount of neighbors per group. Then you can proceed with the vertical summation.
- Scenario 3 Suppose there are one hundred residents in a neighborhood, and each resident has an identical demand for a public good. The demand for each resident is given by P = 2 - .01Q. If your answer is not a whole number, please make sure to round to the nearest hundredth. Refer to Scenario 3. Find the social demand curve for the public good in this neighborhood. What is the y-intercept of the social demand curve?A local school administrator is concerned that flu outbreaks are putting children at risk, so she proposes that the state should subsidize flu shots in order to increase coverage rates. -Are the administrator’s concerns valid—are too few children getting flu shots—and will a subsidy help? -The school nurse suggests publishing a list of which kids did not get a flu shot, in the hope that public shaming will lead people to vaccinate their children. Is this strategy likely to work?10-) Suppose 10 people each have the demand Q = 20 – 4P for streetlights and 5 people have the demand Q = 18 – 2P for streetlights. The cost of building each streetlight is 3. If it is possible to purchase a fractional number of streetlights, how many streetlights are socially optimal?
- Suppose there are two consumers A and B, and two goods x and y. A’s utility function has the following form UA = xA – (xB)-1. Which of the following is true? Consumer B's consumption of good x exhibits a negative externality. Consumer A's consumption of good x exhibits a negative externality. Consumer B's consumption of good x exhibits a positive externality. Consumer A's consumption of good x exhibits a positive externality.Consider the model of the market for lemons from Chapter 22. Suppose that there are two types of used cars — good ones and lemons — and that sellers know which type of car they have. Buyers do not know which type of car a seller has. The fraction of used cars of each type is 21 and buyers know this. Let’s suppose that a seller who has a good car values it at $10,000 and a seller with a lemon values the lemon at $5,000. A seller is willing to sell his car for any price greater than or equal to his value for the car; the seller is not willing to sell the car at a price below the value of the car. Buyers’ values for good cars and lemons are $14,000 and $8,000, respectively. As in Chapter 22 we will assume that buyers are risk-neutral; that is, they are willing to pay their expected value of a car. (a) Is there an equilibrium in the used-car market in which all types of cars are sold? Briefly explain.(b) Is there an equilibrium in the used-car market in which only lemons are sold? Briefly…20. When a moral hazard problem exists for automobile driving, the marginal cost of driving (A) is lowered, and the amount of driving done is raised above the efficient level. (B) is lowered, and the amount of driving done is lowered below the efficient level. (C) is raised, and the amount of driving done is raised above the efficient level . (D)is raised, and the amount of driving done is lowered below the efficient level. (E) is raised above the efficient level, but market forces keep the total amount of driving is kept at the efficient level .
